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Finding the Third Proportional to 611,075.63 and 897,884.63

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Solution

The third proportional to 611,075.63 and 897,884.63 is: 1,319,307.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    611,075.63 : 897,884.63 = 897,884.63 : x
  2. Step 2: Convert to fraction form
    611,075.63/897,884.63 = 897,884.63/x
  3. Step 3: Cross multiply
    611,075.63x = 897,884.63 × 897,884.63
  4. Step 4: Simplify right side
    611,075.63x = 806,196,799,811.39
  5. Step 5: Solve for x
    x = 806,196,799,811.39/611,075.63
  6. Step 6: Final answer
    x = 1,319,307.74

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.